Answer:
The amount of calories Lucie will burn by jumping for 1 minute is 8 calories
Step-by-step explanation:
The given data values are;
Minutes
Calories Burned
40
320
80
640
120
960
160
1280
The value of calories burnt and the number of minutes of jump robe are seen to be directly proportional, such that we have;
40 minutes of jump rope will yield 320 calories burnt
Therefore we have;
1 minute of jump rope will yield 320/40 = 8 calories burnt
The amount of calories Lucie will burn by jumping for 1 minute = 8 calories.
<h2>
Answer:</h2>

<h2>
Explanation:</h2>
<em>The height of the rider from the ground after the Ferris wheel</em> equals <em>the starting point is 15 feet off the ground </em><em>plus </em><em>the radius of the Ferris wheel </em><em>plus </em><em>the opposite side of the triangle ΔABC </em>(See figure below).<em> </em>Hence our goal is to find this side. We have the angle
, therefore the angle ∠BAC = 165° - 90° = 75°. So this side can be found using trigonometry:

Finally, the height is:

<span>6.5 x 10^6
To answer this question, you need to divide the mass of the sun by the mass of mercury. So
2.13525 x 10^30 / 3.285 x 10^23 = ?
To do the division, divide the mantissas in the normal fashion
2.13525 / 3.285 = 0.65
And subtract the exponents.
30 - 23 = 7
So you get
0.65 x 10^7
Unless the mantissa is zero, the mantissa must be greater than or equal to 0 and less than 10. So multiply the mantissa by 10 and then subtract 1 from the exponent, giving
6.5 x 10^6
So the sun is 6.5 x 10^6 times as massive as mercury.</span>
8 + 4 = 3x
12 = 3x
divide both sides by 3
x= 4
Answer:
y = 4/3x - 10.
Step-by-step explanation:
3x + 4y = 12
4y = -3x + 12
y = -3/4x + 3
If a line is perpendicular to another, the line has a slope that is the negative reciprocal of the other line. Since the given line has a slope of -3/4, the line perpendicular to that line will have a slope of 4/3.
So far, for the equation of the line, we have an equation of y = 4/3x + b.
To find b, simply substitute the coordinates (6, -2) for x and y.
-2 = 4/3(6) + b
b + 4/3(6) = -2
b + 8 = -2
b = -10
So, the equation of the line will be y = 4/3x - 10.
Check your work...
-2 = (4/3)(6) - 10
-2 = 8 - 10
-2 = -2
Hope this helps!